D-Modules and Darboux Transformations

被引：0
|
作者：
Yuri Berest
Alex Kasman
机构：
[1] University of,Department of Mathematics
[2] Concordia University,Department of Mathematics and Statistics
[3] and,undefined
[4] Centre de recherches mathématiques,undefined
[5] Université de Montréal,undefined
来源：
Letters in Mathematical Physics | 1998年 / 43卷
关键词：
commutative rings of partial differential operators; algebraic D-modules; Darboux transformations; bispecrality; quantum integrable systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A method of G. Wilson for generating commutative algebras of ordinary differential operators is extended to higher dimensions. Our construction, based on the theory of D-modules, leads to a new class of examples of commutative rings of partial differential operators with rational spectral varieties. As an application, we briefly discuss their link to the bispectral problem and to the theory of lacunas.
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页码：279 / 294
页数：15
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